(1/2)10t^2+20t=385

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Solution for (1/2)10t^2+20t=385 equation: 


t in (-oo:+oo)

(1/2)^10*t^2+20*t = 385 // - 385

(1/2)^10*t^2+20*t-385 = 0

1/1024*t^2+20*t-385 = 0

DELTA = 20^2-(-385*1/1024*4)

DELTA = 102785/256

DELTA > 0

t = ((102785/256)^(1/2)-20)/(1/1024*2) or t = (-(102785/256)^(1/2)-20)/(1/1024*2)

t = 512*((102785/256)^(1/2)-20) or t = -512*((102785/256)^(1/2)+20)

t in { -512*((102785/256)^(1/2)+20), 512*((102785/256)^(1/2)-20) }

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